Malcolm Turnbull may this morning face a challenge to his leadership amidst reports Peter Dutton has not abandoned plans to topple his leader.

Yesterday the Prime Minister's closest allies rallied around him, denying any threat to his leadership in multiple interviews.

But this morning it is being reported that the Home Affairs Minister was last night telling his supporters he was still undecided on challenging Mr Turnbull.

The Daily Telegraph reports Mr Dutton is still considering a challenge to Mr Turnbull at the Liberal party room meeting this morning or that he may hold off to build more support before striking next month.

"He (Mr Turnbull) looks like he's in panic mode," a "senior figure" involved in the campaign against the Prime Minister told the newspaper.

"The reaction to the (National Energy Guarantee) announcement has been disbelief.

"The Prime Minister is clearly rattled and he's worried that the numbers are peeling off him."

All eyes this morning will be on Liberal Party MPs as they arrive to a regular meeting, where they will discuss Mr Turnbull's revamped NEG, which will no longer include a legislated 26 per cent emissions cut target.

Yesterday, cabinet ministers echoed their leader's claim that he had their confidence after a bruising day of media leaks and questions in parliament.

Deputy Liberal Leader Julie Bishop said she was confident Mr Turnbull would stay in the job before Australians go to the polls by May 2019.

"I certainly believe Malcolm Turnbull will lead us to the next election," she told 2GB radio yesterday.

"I believe he has the vast majority of the party room behind him."

About 10 coalition MPs have expressed concern the government's commitment to its Paris emissions-cut target is being prioritised ahead of cutting power prices.

Mr Dutton is their leadership standard-bearer, with former prime minister Tony Abbott a key agitator on the backbench.

But according to the prime minister, Mr Dutton has his back.

"Peter Dutton was at our leadership group meeting this morning and was at cabinet last night," Mr Turnbull told reporters in Canberra yesterday.

"He is a member of our team. He has given me his absolute support."

Asked further about the leadership, Mr Turnbull said: "I enjoy the confidence of the cabinet and of my party room."

Earlier Mr Abbott said it was not a personality contest.

"It's not about him, it's not about me ... It's about policy and what we've got to get is a contest," Mr Abbott told reporters.

"The only way we can win the next election is to have a contest over policy not personalities."

Adding fuel to the fire, Mr Abbott reportedly told a meeting of Tasmanian Young Liberals at the weekend he looked forward to "a Dutton government".

However, he declined to elaborate on the comment when quizzed by reporters yesterday and Ms Bishop later said she understood he had not said it.